Answer:
So, the required width of rectangular piece of aluminium is 8 inches
Step-by-step explanation:
We are given:
Perimeter of rectangular piece of aluminium = 62 inches
Let width of rectangular piece of aluminium = w
and length of rectangular piece of aluminium = w+15
We need to find width i.e value of x
The formula for finding perimeter of rectangle is: [tex]Perimeter=2(Length+Width)\\[/tex]
Now, Putting values in formula for finding Width w:
[tex]Perimeter=2(Length+Width)\\\\62=2(w+15+w)\\62=2(2w+15)\\62=4w+30\\62-30=4w\\4w=32\\w=\frac{32}{4}\\w=8[/tex]
After solving we get the width of rectangular piece :w = 8
So, the required width of rectangular piece of aluminium is 8 inches
question 6 please help me ill give brainliest answer
Answer:
d
Step-by-step explanation:
because it makes sense and is proportional
A food server records the total bill and the amount of the tip received by 5 individuals who dined alone. Here are the data: Total $4.50 $5.79 $6.25 $4.62 $6.35 Tip $0.75 $1.00 $0.75 $0.58 $1.00 (a) Is there a clear explanatory variable and response variable in this setting? If so, tell which is which. If not, explain why not. b) Make a scatterplot of these data on your work document. (c) Based on the scatterplot, describe the relationship between the total bill and tip received for these 5 customers. (d) The correlation r between the total bill and tip received is r = 0.67. Explain how this confirms the description from part (c). (e) How would r change if all the total bill amounts were reduced by 10%? tip received was measured in cents rather than dollars? (f) Suppose another customer whose total bill was $5.15 tipped $0.75. How would including this point influence r? Justify your answer without performing any calculations.
Answer:
(a) There is not a clear explanatory variable and response variable
(b) Please find attached the scatterplot created with Microsoft Excel
(c) There is some relationship between the total bill and tip received
(d) The correlation value of r = 0.67, reaffirm that there is an amount of positive correlation between the total bill and the tip received
(e) The correlation will remain positive, and will increase
(ii) The correlation will remain constant
(f) The correlation and r will increase marginally
Step-by-step explanation:
(a) The given parameters are;
Total [tex]{}[/tex] Tip
$4.50 [tex]{}[/tex] $0.75
$5.79 [tex]{}[/tex] $1.00
$6.25 [tex]{}[/tex] $0.75
$4.62 [tex]{}[/tex] $0.58
$6.35 [tex]{}[/tex] $1.00
From the given data, the relationship between the variables are not clear as the lowest and the second highest total give the same amount as tip, the second lowest receive the lowest tip and the median value of the total and the highest value give the same value of tip
Therefore, there is not a clear explanatory variable and response variable
(b) Please find attached the scatterplot
(c) Based on the scatterplot, as the total bill increases, the response the tip increases, therefore, there is some relationship between the total bill and tip received
(d) The correlation value of r = 0.67, reaffirm that there is an amount of positive correlation between the total bill and the tip received
(e) (i)Whereby the total bill were reduced by 10% each, we have, that the correlation will remain positive, and will increase
(ii) Whereby the tip received were measured in cents rather than dollars, the correlation will remain constant
(f) When the total bill of another customer whose bill is $5.15 and tipped $0.75 is added, we have three customers out of six that give an equal tip, therefore, the correlation and r will increase marginally
Creating a linear regression model of the given data, the necessary deductions required to solve the problems posed. Hence, the solutions are as follows :
A.)
The explanatory variable is not very obvious as we have similar measured or predicted value for two different data points in the data.
B.)
The scatterplot of the relationship is attached with Total being the independent and tips being the dependent variable.
C.)
The scatter plot shows a positive association or relationship between total and tips.
D.)
The Correlation Coefficient gives the strength and direction of the relationship between two variables. Hence, 0.67 is positive and shows a fairly strong association.
E.)
A reduction in total bill by 10% would still depict an increase in the tips as based on the total bill amount.
If tips was measured in cent and not dollars, then, the the value of r will remain the same, as the unit of a variable has no effect on the correlation Coefficient.
F.)
The addition of a point with total bill of 5.15 and tip amount of 0.75 will strengthen the existing relationship. Hence, the value of R will increase slightly.
Learn more :https://brainly.com/question/18405415
3) What is 2/15 + 3/10 ? (hint: find the LCD first)
Answer:
13/30
Step-by-step explanation:
2/15 x 2 = 4/30
3/10 x 3 = 9/30
4/30 + 9/30 = 13/30
Answer:
13/30
Step-by-step explanation:
2/15 = 2/15 × 2/2 = 4/30
3/10 = 3/10 × 3/3 = 9/30
4/30+9/30=13/30
whats 1+1?
I would also like an explanation on how you found the answer too thanks
Answer:
2
Step-by-step explanation:
1x = [tex]\frac{d}{dx} \frac{1}{2}x^2[/tex]
[tex]\frac{d}{dx} \frac{1}{2}x^2[/tex]+ [tex]\frac{d}{dx} \frac{1}{2}x^2[/tex]= [tex]\frac{d}{dx} }x^2[/tex]
[tex]\frac{d}{dx} }x^2[/tex] = 2x
2x/x = 2
help me
I need someone..
plss
Answer:
b
Step-by-step explanation:
Answer:
a. very likely
b. 0 to 1
c. less than 0
Step-by-step explanation:
please mark as brainliest
Antione swam 42 laps in 7 minutes. Frank swam 48 laps in 8 minutes. Are
these rates equivalent? Explain your reasoning.
Yes, these rates are equivalent because the unit rate of 9 laps per minute matches
each rate.
No, the unit rates are not equivalent.
O Yes, these rates are equivalent because the unit rate of 6 laps per minute matches
each rate.
Yes, these rates are equivalent because the unit rate of 8 laps per minute matches
each rate.
9514 1404 393
Answer:
Yes, these rates are equivalent because the unit rate of 6 laps per minute matches each rate.
Step-by-step explanation:
In each case we have ...
laps/minutes = (42 laps)/(7 minutes) = 6 laps/minute = (48 laps)/(8 minutes)
Yes, the rates are both 6 laps/min, so are equivalent.
A golf course charges $16 for a package including the full 18-hole course. The course also sells buckets of
golf balls for $21 each. The golf course would like to earn $555 by the end of the day.
Enter a linear equation that describes the problem.
An equation for the amount of money earned by the golf course is = $555, where c is the
number of course packages purchased, and b is the number of buckets of balls purchased.
16x + 21y = 555
Step-by-step explanation:
Let x be the no. of 18-hole course
And y be the no. of golf balls
16x + 21y = 555
PLZZZZ HELPPPPPPP!!!!
A person and a building cast a shadow at the same time of day. The person is 5.8 feet tall and cast a shadow of 3.2 feet.
The building casts a shadow of 28 feet.
Answer: The height of the building is 50.75 feet.
Step-by-step explanation:
The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.
For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.
The ratio will be: 5.8ft/3.2ft = 1.8125
Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:
H/28ft = 1.8125
Now we can solve this for H.
H = 1.8125*28ft = 50.75 ft
Then the height of the building is 50.75 feet.
Write the system so both equations are in slope-
intercept form: y = mx + b.
2y = -3x - 8
2y + 3x = 6
I
a) 2y = -3x -8
dividing through by 2
y = -3x/2 -4
b) 2y + 3x = 6
2y = -3x +6
dividing through by 2
y = -3x/2 + 3
please mark me brainlest
Worth 30 points!!!! Will mark brainliest!! Please help!!!!!!
The Jackson Family started a small business. The equation y=5.9x-19.5 models the business's cash value, in thousands of dollars, X years after they started their business.
Which statement best explains what the y-intercept of the equation means?
A. The Jackson's lost $19,500 every year they were in business.
B. The Jackson's lost $19,500 the first year they were in business.
C. The Jackson's started their business with a debt of $19,500.
D. The Jackson's lost $19,500 every 5.9 years.
Which Correlation is most likely a causation?
A. The positive Correlation between the number of skiers and snowboarders on a mountain.
B. The positive Correlation between the number of typing classes a student takes and the number of words per minute the student can type.
C. The positive Correlation between the sales of cell phones and the sales of televisions in a store.
D. The positive Correlation between the number of shopping carts at a store and the number of cash registers in the store.
Answer:
C and B
Step-by-step explanation:
in x=5.9x-19.5 the y int is -19.5 (y=mx+b m = slope b =y int)
According to the information they earn 5.9 of something "every payday" and the y int is them starting out. The only logical answer is C for the first question because every other answer involves slope and not starting value.
For the second one it is B i think since causation means cause to effect or ratio. They are the only values that make since because they are related to eachother.
Sorry for the bad spelling if you need any more information please ask in comments :)
The answers of question 1 and question 2 are option C and B respectively.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
Given equation,
y = 5.9x - 19.5
And we have the slope intercept form
y = mx + b,
where m is the slope and b is the y-intercept.
Comparing above of both the equation,
Here, the y intercept is -19.5 and the slope is 5.9
According to the information they earn 5.9 of something "every payday" and the y intercept is them starting out.
The answer is C for the first question because every other answer involves years that means slope and not starting value.
For the second one,
answer is B i think since causation means cause to effect or ratio.
The positive Correlation between the number of typing classes a student takes and the number of words per minute the student can type.
Relation is directly related to each other.
Therefore, the answers of question 1 and question 2 are option C and B respectively.
To learn more about the slope;
brainly.com/question/3605446
#SPJ2
What is the slope to this graph?
Answer:
Add more point
Step-by-step explanation:
What theorems can be used to prove the triangles are congruent?
SSS
ASA
AAS
HL
Answer:
1.) SAS | 2.) HL | 3.) HL | 4.) SSS (Not too sure about this one)
Step-by-step explanation:
Please help me. What are 2 numbers that multiply to be -36 and add up to be 5?
Answer:
-4 and 9
Step-by-step explanation:
-4 + 9 = 5
-4 x 9 = -36
Victoria wants to take her friends to a movie. She can spend less than $150. The movie ticket costs $10 each, and she also wants to spend $20 for popcorn. What is the possible number of friends she can take to the movie?
Answer:
5
Step-by-step explanation:
Parallelogram R S T U is shown. Angle S is 70 degrees.
What are the missing angle measures in parallelogram RSTU?
m∠R = 70°, m∠T = 110°, m∠U = 110°
m∠R = 110°, m∠T = 110°, m∠U = 70°
m∠R = 110°, m∠T = 70°, m∠U = 110°
m∠R = 70°, m∠T = 110°, m∠U = 70°
Answer:
B. m∠R = 110°, m∠T = 110°, m∠U = 70°Step-by-step explanation:
The opposite angles of the parallelogram are the same.
From the diagram;
<S = <U and <R = <T
Given
<S = 70°
Since <S = <U, hence <U = 70°
Since the sum of angles in a quadrilateral is 360 degrees, hence;
<R+<S+<T+<U = 360
Since <R = <T, then;
<Y+<S+<T+<U = 360
2<T + 70+70 = 360
2<T = 360-140
2<T = 220
<T = 220/2
<T = 110°
Since <T = <R, then < R = 110°
Hence m∠R = 110°, m∠T = 110°, m∠U = 70°. Option B is correct
Answer:
b.) on edg.
Step-by-step explanation:
just did it
good luck!
PLLLLEEEEEEAAASSSSSSSSEEEE
help it is easy but I am just tired
Determine which of the lines, if any are perpendicular.
Line a passes through (2, 10) and (4, 13).
Line b passes through (4, 9) and (6, 12).
Line c passes through (2, 10) and (4, 9).
Given:
Line a passes through (2, 10) and (4, 13).
Line b passes through (4, 9) and (6, 12).
Line c passes through (2, 10) and (4, 9).
To find:
Which of the lines, if any are perpendicular.
Solution:
If a line passes through two points, then the slope of line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Line a passes through (2, 10) and (4, 13). So, slope of this line is
[tex]m_a=\dfrac{13-10}{4-2}=\dfrac{3}{2}[/tex]
Line b passes through (4, 9) and (6, 12). So, slope of this line is
[tex]m_b=\dfrac{12-9}{6-4}=\dfrac{3}{2}[/tex]
Line c passes through (2, 10) and (4,9). So, slope of this line is
[tex]m_c=\dfrac{9-10}{4-2}=\dfrac{-1}{2}[/tex]
Product of slopes of to perpendicular lines is -1.
[tex]m_a\cdot m_b=\dfrac{3}{2}\times \dfrac{3}{2}=\dfrac{9}{4}\neq -1[/tex]
[tex]m_b\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1[/tex]
[tex]m_a\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1[/tex]
Therefore, any of these lines are not perpendicular to each other.
What is the slope for 5x+2y=6
Answer:
The slope is -5/2 as a fraction
or -2.5 as a decimal.
Step-by-step explanation:
First we have to get it into this format y = mx + b
5x + 2y = 6 (subtract 5x on both sides)
2y = -5x + 6 (divide by 2 on both sides)
y = -5/2x + 3
The slope is -5/2 or -2.5
Hope this helps ya!!
what is 23 to the 4th power times 5
Answer:
1399205
Step-by-step explanation:
plz help
One real-world problem that is solved by an equation
James has twin sisters (who are the same age, of course). James is 12. If the combined ages of James and his twin sisters equal 42 years, how old are his sisters?
Answer:
15
Step-by-step explanation:
With the two twins sister in mind we be dividing the difference of James's age with the combined ages
42-12/2
= 30/2
= 15
The age of his two sisters are 15
3y + 4x =15
y = 2x² – 3x +5
Answer:
(0,5)
(5/6,35/9)
Step-by-step explanation:
The blue dot is at what value on the number line? Pls help!!
Answer:
I'm guessing -3 .....not sure though sorry ...
Answer:
[tex]-3[/tex]
Step-by-step explanation:
From the two values given, it can be found that each jump down decreases by [tex]3[/tex]. Starting from [tex]3[/tex], we need to jump down two steps to reach the blue dot. This gives us [tex]3-3(2) = -3[/tex].
Hope this helps :)
Marco calculated that he could run a 5K race in 28 minutes. His actual time was 26 minutes. What is the percent error in his estimation? Round to the nearest tenths place. I NEED THIS ASAP PLZ HELP
Answer:
7.70%
Step-by-step explanation:
Total length of race = 5k
Actual time taken to run the race = 26 minutes
Marcos time = 28 minutes
Percentage error = difference in value / actual time × 100
= (28 - 26) / 26 × 100
= 2 / 26 × 100
= 0.077 × 100
= 7.70%
Answer:
7.7 or 7.70
Step-by-step explanation:
Step-by-step explanation:
Total length of race = 5k
Actual time taken to run the race = 26 minutes
Marcos time = 28 minutes
Percentage error = difference in value / actual time × 100
= (28 - 26) / 26 × 100
= 2 / 26 × 100
= 0.077 × 100
= 7.70%
0.6 can be written as the fraction
Answer:
0.6 = [tex]\frac{6}{10}[/tex]
You are trying to decide between two different gyms. The cost for GloboGym includes a monthly fee of $24.00 plus $.50 per visit. The monthly cost for Average Joe’s is $32 with unlimited visits.
Answer:
i dot kniw
Step-by-step explanation:
Convert the improper fraction to a mixed number and simplify to its lowest 8/3=2. /3
[tex] \frac{8}{3} = 2 \times \frac{?}{3} [/tex]
Answer:
8/3 = 2 x 4/3
Step-by-step explanation:
HELP ME PLEASE 30 points !!
Answer:
(0,1.5) (0,-3)
Step-by-step explanation:
Hope it helps :)
If The Base Of A Triangle Is 6 cm And Its Hypotenuse Is 10cm, Then Find Its Area Pls Reply ASAP
the awnser would be 24cm^2
A student took a test with 35 questions, they received a 78% on the test. How many questions did they answer correctly?
Answer:
27
Step-by-step explanation:
4-inch-by-6-inch frame. What is the area, in
square inches, of the part of the photograph that was
-
into a
DO YO
cut off?
A 2
B. 10
C. 11
D. 12
E. 24
Sam read 6 chapters in 2 hours. If he continues to read at this same rate, how many chapters will he read in 1 day?
Answer:
He will read 72 chapters in 1 day
Step-by-step explanation:
Let us use the ratio method to solve this question
∵ Sam read 6 chapters in 2 hours
∵ He continues to read at this same rate for 1 day
→ We must change the day to hours
∵ 1 day = 24 hours
∴ We need to find how many chapters he will read in 24 hours
→ Chapter : Hour
→ 6 : 2
→ x : 24
→ By using cross multiplication
∵ x × 2 = 6 × 24
∴ 2x = 144
→ Divide both sides by 2
∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{144}{2}[/tex]
∴ x = 72
∴ He will read 72 chapters in 1 day